212111013100 has 72 divisors (see below), whose sum is σ = 526737064448. Its totient is φ = 72626760000.

The previous prime is 212111013083. The next prime is 212111013151. The reversal of 212111013100 is 1310111212.

It is a happy number.

212111013100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×212111013100² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 323959 + ... + 727441.

Almost surely, 2^212111013100 is an apocalyptic number.

212111013100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212111013100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263368532224).

212111013100 is an abundant number, since it is smaller than the sum of its proper divisors (314626051348).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

212111013100 is a wasteful number, since it uses less digits than its factorization.

212111013100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404255 (or 404248 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 212111013100 its reverse (1310111212), we get a palindrome (213421124312).

The spelling of 212111013100 in words is "two hundred twelve billion, one hundred eleven million, thirteen thousand, one hundred".